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122201022112 = 25131491999907
BaseRepresentation
bin111000111001110111…
…1111001111010100000
3102200102101210010012221
41301303233321322200
54000231430201422
6132045520000424
711554153356331
oct1616357717240
9380371703187
10122201022112
1147909322664
121b824a60114
13b6a61b6010
145cb37ac288
1532a33253c7
hex1c73bf9ea0

122201022112 has 96 divisors (see below), whose sum is σ = 262165680000. Its totient is φ = 55734801408.

The previous prime is 122201022101. The next prime is 122201022131. The reversal of 122201022112 is 211220102221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12329863 + ... + 12339769.

It is an arithmetic number, because the mean of its divisors is an integer number (2730892500).

Almost surely, 2122201022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131082840000).

122201022112 is an abundant number, since it is smaller than the sum of its proper divisors (139964657888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122201022112 is a wasteful number, since it uses less digits than its factorization.

122201022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122201022112 its reverse (211220102221), we get a palindrome (333421124333).

The spelling of 122201022112 in words is "one hundred twenty-two billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 199 208 298 398 416 596 796 1192 1592 1937 2384 2587 3184 3874 4768 5174 6368 7748 9907 10348 15496 19814 20696 29651 30992 39628 41392 59302 61984 79256 82784 118604 128791 158512 237208 257582 317024 385463 474416 515164 770926 948832 1030328 1476143 1541852 1971493 2060656 2952286 3083704 3942986 4121312 5904572 6167408 7885972 11809144 12334816 15771944 19189859 23618288 25629409 31543888 38379718 47236576 51258818 63087776 76759436 102517636 153518872 205035272 293752457 307037744 410070544 587504914 614075488 820141088 1175009828 2350019656 3818781941 4700039312 7637563882 9400078624 15275127764 30550255528 61100511056 122201022112